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Finding the Fourth Proportional to 579.24, 868.44 and 305.25

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Solution

The fourth proportional to 579.24, 868.44 and 305.25 is: 457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.24 : 868.44 = 305.25 : x
  2. Step 2: Convert to fraction form
    579.24/868.44 = 305.25/x
  3. Step 3: Cross multiply
    579.24x = 868.44 × 305.25
  4. Step 4: Simplify right side
    579.24x = 265,091.31
  5. Step 5: Solve for x
    x = 265,091.31/579.24
  6. Step 6: Final answer
    x = 457.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.